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Shvoong Home>Science>Mathematics>Essential Calculus: Early Transcendentals Ch. 1 Summary

# Essential Calculus: Early Transcendentals Ch. 1

Book Summary   by:JohnnyDrama     Original Author: James Steward

Representing functions with tables and graphs

Simple.

A function f is a rule that assigns to each element x in a set A exactly one element, called f(x), in a set B

For all numbers in set A we refer to them as the domain -- in other words all values of x

The number f(x) is the value of f at x and is read "f of x". The range off is the set of all possible values of f(x) as z varies throughout the domain

x is considered the independent variable, as it changes, producing y, or f(x)
therefore y, or f(x) (because y and f(x) are used interchangebly) is the dependent variable, depending on the equation with the variable x in it

There are many ways to represent functions:

• Verbally (by a description in words)
• Visually (via a graph)
• Numberically (by a table of values)
• Algebraically (by an explicit formula)

Published: September 25, 2008
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